A population consist of multiple of five numbers where is 5, 10, 15, 20, 25, and 30 with sample size of 2. Find the population variance.

To calculate the population variance, follow these steps:

1. Calculate the mean (average) of the population. Add all the numbers together and divide by the number of numbers.

   (5 + 10 + 15 + 20 + 25 + 30) / 6 = 17.5

2. Subtract the mean from each number in the population and square the result. This is called the "squared difference".

   (5 - 17.5)^2 = 156.25 (10 - 17.5)^2 = 56.25 (15 - 17.5)^2 = 6.25 (20 - 17.5)^2 = 6.25 (25 - 17.5)^2 = 56.25 (30 - 17.5)^2 = 156.25

3. Add all the squared differences together.

   156.25 + 56.25 + 6.25 + 6.25 + 56.25 + 156.25 = 437.5

4. Divide the sum of the squared differences by the number of numbers in the population to get the variance.

   437.5 / 6 = 72.92

So, the population variance is 72.92.